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Finding the Fourth Proportional to 13,891.96, 19,171.14 and 7,604.68

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Solution

The fourth proportional to 13,891.96, 19,171.14 and 7,604.68 is: 10,494.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,891.96 : 19,171.14 = 7,604.68 : x
  2. Step 2: Convert to fraction form
    13,891.96/19,171.14 = 7,604.68/x
  3. Step 3: Cross multiply
    13,891.96x = 19,171.14 × 7,604.68
  4. Step 4: Simplify right side
    13,891.96x = 145,790,384.94
  5. Step 5: Solve for x
    x = 145,790,384.94/13,891.96
  6. Step 6: Final answer
    x = 10,494.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.